Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 6 - Section 6.4 - Binomial Coefficients and Identities - Exercises - Page 421: 8

Answer

From the binomial theorem it follows that this coefficient is $${17\choose 9}=\frac{17!}{8!9!}=24310$$
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